It is worth contrasting this solution with that at nonzero temperature [1]}. Then
the integral over \(\omega \)  is a discrete sum, and the zero energy mode is the most important. It generates
a power law divergence, with the solution \(\delta m_{\rm eff}\approx 1/Z^4\) ,
Eq. (58) of Ref. [1]}. The statement in Ref. [1]}
that \(\delta m_{\rm eff}\)  vanishes at zero temperature is incorrect: it is just that \(\delta m_{\rm eff}\)  is suppressed
exponentially in \(1/\sqrt{-Z}\) , instead of by a power. I refer to this disorder as a quantum pion liquid, Q\(\pi \) L [4]}.
